4) Consider the following table of data that shows the results of asking a group ofpeople about yearly income:$20,000 – 29,999$30,000 - 39,999$40,000 -49,999TotalsMale4980127256Female479793237Totals96177220493i) Determine the probability that one randomly selected person from the group isa female that earns between $30,000 and $39,999

4) Let event A denote that the person is female group and the event B be denoted that the person…

Answered: 4) Consider the following table of data…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A box contains the following tickets: 1, 1, 1, 1, 2, 2, 3, 3. Which of the plots below represents the probability histogram for a single draw from this box? (a) (b) (c)
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
The following data (in thousands of euros) represent the net annual income for a sample of taxpayers in U.S. 47,55,18,24,27,41,50,38,33,29,15,77,64,22,19,35,39,41 67,55,121,77,80,34,41,48,60,30,22,28,84,55,26,105,62, 30,17,23,31,28,56,64,88,104,115,39,125,18,21,30,57,40 38,29,19,46,40,49,72,70,37,39,18,22,29,52,94,86,23,36 Graph this data set in a frequency histogram having 5 class intervals. Graph this data set in a frequency histogram having 10 class intervals. Which histogram do you think is more informative? Why?
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 25 27 28 28 37 26 25 44 27 33 O Actor (years) 59 35 35 39 29 37 55 35 37 39 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hdl year(s) H1: Hal (Type integers or decimals. Do not round.) year(s) Get more…
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 30 Actor (years) 27 32 30 38 27 25 45 32 36 O 58 40 38 37 28 31 51 40 40 44 a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors). In this example, H. is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the actress's age minus the actor's age. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd year(s) H: Hd year(s) (Type integers or decimals. Do not round.)
Solve for B)
The following data lists the ages of a random selection of actresses when they won an award in the category of Best Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts (a) and (b) below. Actress (years) 27 31 29 31 34 23 28 37 33 31 D Actor (years) 67 41 36 42 26 35 46 40 37 39 Họ: Ha year(s) H7: Ha v (Type integers or decimals. Do not round.) year(s) Identify the test statistic. t = (Round to two decimal places as needed.) Identify the P-value, P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is V the significance level, V the null hypothesis. There sufficient evidence to support the claim that actresses are generally younger when they won the award than actors. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the…

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